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Goshia [24]
3 years ago
15

What is an equation of the line that passes through the points : (−6,−5) and (−6,−2)?

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:  x= -6

Step-by-step explanation:

It will be a vertical line parallel to the y-axis at -6 on the x-axis. It passes through every y-value, including the given -5 and -2

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For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of water around the boat, ????(????),
Effectus [21]

Answer:

a. Period, T = 12.57 hours. b. Latest time = 294.16 hours, 6 a.m 12 days later

Step-by-step explanation:

For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of water around the boat, d(t), in meters, where t is measured in hours since midnight, is d(t) = 5 + 4.6sin(0.5t). (a) What is the period of the tides in hours? (b) If the boat leaves the bay at midday, what is the latest time it can return before the water becomes too shallow?

a. The period, T of the tides is gotten from ω = 2π/T, where ω is the angular frequency of the wave and T its period. Comparing the sine part of equation of the tides with the general equqtion of a sine wave, Asinωt, thus Asinωt = 4.6sin(0.5t),

so ω = 0.5 rad/s.

Equating this to 2π/T implies

0.5 = 2π/T

therefore, T = 2π/0.5 = 12.566 hours ≈ 12.57 hours

b. The tide becomes too low if it is less than 2.5 m i.e d(t) < 2.5 m. So, equating d(t) as 2.5 in the tidal equation, we have d(t) = 5 + 4.6sin(0.5t).

2.5< 5+ 4.6sin(0.5t)

2.5-5 < 4.6sin(0.5t)

-2.5 < 4.6sin(0.5t)

-2.5/4.6 < sin(0.5t)

-0.543 < sin(0.5t)

sin⁻¹(-0.543)<0.5t

-32.92<0.5t. Since we cannot have negative time, we add 180 to -32.92 to give 147.08

147.08<0.5t

t>147.08/0.5=294.16 hours

So, if t is greater than 294.16 hours, the water will be shallow. That is, below 2.5 m. which is 12 days 6hours 8 min 38 s which is 6 a.m 12 days later

3 0
3 years ago
Helloo!! I really need help on this. Thank you! I’ll mark brainly.
Alinara [238K]

Rise/Run

5/4

You go to the point farthest to the left and count up. This will be your Rise. Then you count over to the point on the right. This will be your Run.

7 0
2 years ago
Read 2 more answers
How to get the answer
Aleonysh [2.5K]
So this is just working with exponents, but negative exponents can be a little tricky. your example didn't do a great job of showing how you calculate negative exponents.

for #2, you have 10⁻⁶

to convert negative exponents into something that makes more sense to our brain, you can set it beneath 1:

\frac{1}{10^6}  ... or, in the event that you can't see that because you're on the app: (1)/(10⁶). so now, instead of calculating 10⁻⁶, which would probably give you a confusing decimal, you just need to figure out 10⁶ -- and positive exponents are much easier to deal with.

10⁶ = 1,000,000
BUT remember that you have to put this value beneath a 1 to account for your negative exponent and (1/1,000,000) is your answer for part A.

so, use the same steps for the rest of the problems:
1) convert negative exponent to positive exponent beneath 1
7⁻³ = (1)/(7³)
2) calculate 7³
7³ = 343
<span>3) your result is (1/343)
</span>
<span>for 12</span>⁻², again, you'll put it beneath 1 so that it becomes (1)/(12²), then you'll calculate 12² (12*12 = 144), so that your result is (1/144). that leaves the letter D for number 2, which you'll have to write into your boxes at the top.

i hope this helps! you can message me if you have any specific ones that cause you trouble and i'll do my best to help.
5 0
3 years ago
Which of the following transformations represents an isometry?
Wewaii [24]

Answer:

C

Step-by-step explanation:

Isometry only includes, rotation, translation, and reflection.

3 0
2 years ago
At a certain time, the number of people that enter an elevator is a Poisson random variable with parameter λ. The weight of each
zaharov [31]

Answer:

(a) MY(s) = e^λ(e^t-1/t - 1)

(b) E[Y] = λ/2

(c) E[Y] = λ/2

Step-by-step explanation:

See the attached file for explanation

4 0
3 years ago
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